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Finding the Third Proportional to 526,524 and 1,026,803

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Solution

The third proportional to 526,524 and 1,026,803 is: 2,002,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,524 : 1,026,803 = 1,026,803 : x
  2. Step 2: Convert to fraction form
    526,524/1,026,803 = 1,026,803/x
  3. Step 3: Cross multiply
    526,524x = 1,026,803 × 1,026,803
  4. Step 4: Simplify right side
    526,524x = 1,054,324,400,809
  5. Step 5: Solve for x
    x = 1,054,324,400,809/526,524
  6. Step 6: Final answer
    x = 2,002,424.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.